Two factions split from Mosley pre-war and post-war. In the former instance, the pro- William Joyce [Lord Haw-Haw] and his associates; and in the latter, A.K. Chesterton and others, who went on to form the National Front in Britain.
So, ultimately, Mosley did not satisfy true 's and British Nationalists
Also, Francis Yockey [author of 'Imperium'] was shunned by Mosley in the post war period, despite being another advocate of a European Union. Yockey for his part was repulsed by Mosley's pro-Americanism, and Mosley rejected Yockey's Antisemitism!
The historian David Irving has also said that he thought Mosley not to be "genuine".

Whatever, all this goes to show that there is no simple definition of Fascism.
Have a look at Lyndon LaRoche's on-line article on Fascism (where he calls the present Israelite government fascist, not out of abuse, but by showing a doented lineage of Israelite fascism); it's very enlightening.
It reminds me of Mosley's first reading Popper's 'The Open Society and its Enemies', where Plato, Hegel etc., are denounced as enemies of that 'freedom' you speak of. - You see I was right, he said; the philosopic tradition is right behind fascism!

And there I DO agree with him!